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Titlebook: Galerkin Finite Element Methods for Parabolic Problems; Vidar Thomée Book 2006Latest edition Springer-Verlag GmbH Germany 2006 Approximati

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Methods Based on More General Approximations of the Elliptic Problem,ot possible, in general, to satisfy the homogeneous boundary conditions exactly for this choice. This difficulty occurs, of course, already for the elliptic problem, and several methods have been suggested to deal with it. In this chapter we shall consider, as a typical example, a method which was proposed by Nitsche for this purpose.
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More General Parabolic Equations,ic equations, in which we allow the elliptic operator to have coefficients depending on both . and t, to contain lower order terms, and to be nonselfadjoint and nonpositive. In order not to have to account for possible exponential growth of stability constants and error bounds we restrict our consid
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